4x*x+4xy-3y*y+2x+11y-6如何因式分解
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4x*x+4xy-3y*y+2x+11y-6如何因式分解
4x*x+4xy-3y*y+2x+11y-6如何因式分解
4x*x+4xy-3y*y+2x+11y-6如何因式分解
4x^2+4xy-3y^2+2x+11y-6
=(2x-y)(2x+3y)+2x+11y-6
=(2x-y)(2x+3y)+3(2x+3y)-4x+2y-6
=(2x+3y)(2x-y+3)-2(2x-y+3)
=(2x-y+3)(2x+3y-2)
步骤:
4x^2+4xy-3y^2+11y-6
=(2x+y)^2-4y^2+11y-6
=(2x+y)^2-(4y^2-11y+6)
=(2x+y)^2-(y-3)(4y+1)-9
其中^2表示2次方。
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